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A block-spring oscillator on a frictionless table has k = 125 N/m and block mass =...

  1. A block-spring oscillator on a frictionless table has k = 125 N/m and block mass = 0.5kg; the block is oscillating back and forth and its initial position (i.e. when t = 0 sec) is when the spring is compressed to a maximum amount of 1.25 m:

a) In 10 seconds how many times does the block oscillate back and forth?

b) What are the maximum kinetic energy and the maximum velocity of the block?

c) Where is the block located on the x axis when its KE is ¾ of the maximum PE?

d) What is the acceleration of the block when its KE is ¼ the maximum KE?

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